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Svetach [21]
3 years ago
6

What is the compound interest of $1000 at 12%compounded monthlyfor 2 years​

Mathematics
2 answers:
galina1969 [7]3 years ago
8 0

Answer:

1254.4

Step-by-step explanation:

nevsk [136]3 years ago
8 0

Answer:

The amount is $1269.74 and the interest is $269.74.

Step-by-step explanation:

STEP 1: To find amount we use formula:

AAAA=1000(1+0.1212)12⋅2=1000⋅1.0124=1000⋅1.269735=1269.74

STEP 2: To find interest we use formula A=P+I, since A=1269.74 and P = 1000 we have:

A1269.74II=P+I=1000+I=1269.74−1000=269.74

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Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and m\angle BCD=30^\circ.

To find:

The m\angle AOB.

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

\angle OBA\cong \angle BCD        [Alternate interior angles]

m\angle OBA=m\angle BCD

m\angle OBA=30^\circ

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

We know that base angles of an isosceles triangle are congruent.

\angle OAB\cong \angle OBA      [Base angles of an isosceles triangle]

m\angle OAB=m\angle OBA

m\angle OAB=30^\circ

In triangle AOB,

m\angle OAB+m\angle OBA+m\angle AOB=180^\circ

30^\circ+30^\circ+m\angle AOB=180^\circ

60^\circ+m\angle AOB=180^\circ

m\angle AOB=180^\circ-60^\circ

m\angle AOB=120^\circ

Therefore, the measure of angle AOB is 120 degrees.

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